Question
Asked Dec 4, 2019
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A concert promoter needs to take in $760,000 on the sale of $16,000 tickets. If the promoter charges $40 for some tickets and $60 for others, how many of each type must be sold to yield the $760,000?

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Expert Answer

Step 1

Given:

A concert promoter needs to take in $760,000 on the sale of $16,000 tickets and the promoter charges $40 for some tickets and $60 for others.

Step 2

Calculation:

Let x be the number of tickets the promoter charges for $40 and y be the number ...

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x+y 16,000 .....(1) 40x 60y 760, 000 ....(2) (2)-40x(1) 40x60 0x+ y) 760, 000-40 x 16,000 40x60 0x - 40y 120, 000 40x-40x60y -40y 120, 000 20y 120, 000 120,000 20 y = 6000 put the value of y in equation (1) x 6000 16,000 x =16,000 6000 x 10000

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